AP Statistics Probability Rules

If P(A) = 0.6 and P(B) = 0.5, what is P(A and B) if A and B are independent events?

• 0.1

• 1.1

• 0.9

• 0.3

Using the general addition rule, if P(A) = 0.4 and P(B) = 0.3, what is P(A and B)?

• 0.2

• 0.5

• 0.9

• 0.7

List the sample space for flipping two coins.

• TH, TH

• HH, HT, TH, TT

• HT, HT

• HH, HH

Explain the components of a probability model and how it is used to calculate probabilities.

• The components of a probability model include the sample space, events, and probabilities assigned to each event. It is used to calculate probabilities by using the rules of probability, such as the addition rule and multiplication rule.

• The components of a probability model include the alphabet, numbers, and colors. It is used to calculate probabilities by flipping a coin.

• The components of a probability model include the weather, sports, and politics. It is used to calculate probabilities by guessing.

• The components of a probability model include the population, GDP, and unemployment rate. It is used to calculate probabilities by using astrology.

The image represents which of the following?

• intersection, "and"

• intersection, "or"

• union, "and"

• union, "or"

What percentage of the days that it rained, did they forecast no rain?

• About 20%

• About 18%

• About 14%

• About 12%

Given the probabilities P(A) =0.4 and P(A∪B) =0.6, what is the probability P(B): If A and B are mutually exclusive? If A and B are independent?

• 0.2; 0.4

• 0.2; 0.33

• 0.33; 0.2

• 0.6; 0.33

The probability that a randomly chosen American is a Republican is 0.35. What is the probability that in a sample of 10 Americans, that at least 1 will be a Republican?

• a) 0.9865

• b) 0.2275

• c) 0.0725

• d) 0.0135

If P(A) = 0.34 and P(A or B) = 0.71, which of the following is false?

• P(B) = 0.37, if A and B are disjoint.

• P(B) = 0.561, if A and B are independent.

• Cannot be determined if A and B are neither disjoint nor independent.

• P(A∣B)= 0.34, if A and B are independent.

P(Freshman or Pizza):

• 27/50

• 4/50

• 3/50

• 30/50